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Finding the Third Proportional to 18,697 and 27,883

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Solution

The third proportional to 18,697 and 27,883 is: 41,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697 : 27,883 = 27,883 : x
  2. Step 2: Convert to fraction form
    18,697/27,883 = 27,883/x
  3. Step 3: Cross multiply
    18,697x = 27,883 × 27,883
  4. Step 4: Simplify right side
    18,697x = 777,461,689
  5. Step 5: Solve for x
    x = 777,461,689/18,697
  6. Step 6: Final answer
    x = 41,582.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.